Prime p₀= 1253127717877218527 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 28 2 28 2 28 2 4 2 (?)
a_n: 0 2 12 14 24 26 54 56 84 86 114 116 120 122
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 122
Found by: biodoc
db: batch=77, k=14, 10 10 28 28 28 4

SPT(16)	1253125402906170889	0 34 40 64 84 118 120 132 160 172 174 208 228 252 258 292	-2314971047638
TPT(14)	1253125612679040671	0 2 30 32 48 50 138 140 198 200 258 260 306 308	-2105198177856
SPT(16)	1253127226659608887	0 42 52 60 100 124 132 184 210 262 270 294 334 342 352 394	-491217609640
SPT(16)	1253127329107951447	0 34 52 64 94 126 132 142 294 304 310 342 372 384 402 436	-388769267080
SPT(16)	1253127613180348327	0 6 24 30 52 60 102 154 192 244 286 294 316 322 340 346	-104696870200
SPT(16)	1253127651333852661	0 30 66 96 108 112 132 148 210 226 246 250 262 292 328 358	-66543365866
SPT(13)	1253127943593291433	0 6 24 30 54 66 90 114 126 150 156 174 180	225716072906
TPT(14)	1253128260121140857	0 2 42 44 54 56 84 86 210 212 264 266 282 284	542243922330
SPT(16)	1253128310428015057	0 22 36 40 70 100 102 112 180 190 192 222 252 256 270 292	592550796530
SPT(16)	1253128799159936429	0 8 14 44 54 98 120 134 174 188 210 254 264 294 300 308	1081282717902
STPT(10)	1253129309070246701	0 2 36 38 78 80 120 122 156 158	1591193028174